dynesty
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Samples near the edge of the box
Over last few days I was trying to debug the issue in sampling slowing down to a crawl, and it was happening with all the samples sitting exactly at the edge of the cube (in u-space) and somehow that was breaking slice sampling. I remember multinest issues a warning in this case. That may be a good idea too. (i.e. if all live points sit within eps of 0 or 1 of the edge)
Adding in warnings for this particular edge case (literally, hah) does sound like a good idea.